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Algebraic fields

  • A Practical Guide to Geometric Regulation for Distributed Parameter Systemsby Eugenio Aulisa; David Gilliam

    CRC Press 2015; US$ 98.95

    A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a... more...

  • Fourier Analysis on Local Fields. (MN-15)by M. H. Taibleson

    Princeton University Press 2015; US$ 55.00 US$ 50.05

    This book presents a development of the basic facts about harmonic analysis on local fields and the n -dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. The force of the... more...

  • Euler Systems. (AM-147), Volume 147by Karl Rubin

    Princeton University Press 2014; US$ 85.00 US$ 77.35

    One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations,... more...

  • Primes of the Form x2+ny2by David A. Cox

    Wiley 2014; US$ 61.00 US$ 54.90

    An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of ... more...

  • Lacunary Polynomials Over Finite Fieldsby L. Rédei

    Elsevier Science 2014; US$ 72.95

    Lacunary Polynomials Over Finite Fields focuses on reducible lacunary polynomials over finite fields, as well as stem polynomials, differential equations, and gaussian sums. The monograph first tackles preliminaries and formulation of Problems I, II, and III, including some basic concepts and notations, invariants of polynomials, stem polynomials,... more...

  • Ring Theoryby Robert Gordon

    Elsevier Science 2014; US$ 72.95

    Ring Theory provides information pertinent to the fundamental aspects of ring theory. This book covers a variety of topics related to ring theory, including restricted semi-primary rings, finite free resolutions, generalized rational identities, quotient rings, idealizer rings, identities of Azumaya algebras, endomorphism rings, and some remarks on... more...

  • Lecture Notes on Algebraic Structure of Lattice-Ordered Ringsby Jingjing Ma

    World Scientific Publishing Company 2014; US$ 62.00 US$ 56.42

    Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field. This book may be used as a textbook for graduate... more...

  • Emil Artin and Helmut Hasseby Günther Frei; Franz Lemmermeyer; Peter J. Roquette

    Springer Basel 2014; US$ 105.97

    The exchange of letters, over more than three decades, between these two giants of mathematics affords a unique perspective on the evolution of class field theory and Artin’s reciprocity law. This is the first English translation of the correspondence. more...

  • Where is the Gödel-point hiding: Gentzen’s Consistency Proof of 1936 and His Representation of Constructive Ordinalsby Anna Horská

    Springer International Publishing 2013; US$ 50.62

    This book explains the first published consistency proof of PA. It contains the original Gentzen's proof, but it uses modern terminology and examples to illustrate the essential notions. The author comments on Gentzen's steps which are supplemented with exact calculations and parts of formal derivations. A notable aspect of the proof is the representation... more...

  • Cohomology of Number Fieldsby Jürgen Neukirch; Alexander Schmidt; Kay Wingberg

    Springer Berlin Heidelberg 2013; US$ 129.52

    This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality... more...